Campy Chorus 11 UT Crankset... what BB???

So I am looking at getting a new frame and want to transfer over my current 2016 Chorus Groupset. My current frame is standard BSA and I'm using the Record BB cups with the Chorus 11 Ultra Torque Cranks. One frame I'm looking at has a BB386 bottom bracket shell. To use my current Ultra Torque Crankset, would I just need to get the Campy BB386 BB Cups and all is well. I don't see anything on campy manuals specifying a difference in the cranksets, just the bb cups. So am I correct in believing that the an Ultra Torque Crankset will work with whatever frame bb standard, just need to get the right bb cups to match the frame BB?